Separate control over the local and the asymptotic behaviour in L_p spaces

Jean-François Mertens and Anna Rubinchik (annarubinchik@gmail.com)

No WP2011/1, Working Papers from University of Haifa, Department of Economics

Abstract: We introduce 2 parameter variants L_{p,q} of the Lebesgue spaces, to gain separate control on the asymptotic behaviour (p) and the local behaviour (q). Thus they behave with respect to p like the spaces ell_p and with respect to q like the spaces L_q on a probability space. Convolution behaves very well on those spaces.

JEL-codes: C02 C60 (search for similar items in EconPapers)
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